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Finding the Third Proportional to 383,400.84 and 806,463.84

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Solution

The third proportional to 383,400.84 and 806,463.84 is: 1,696,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,400.84 : 806,463.84 = 806,463.84 : x
  2. Step 2: Convert to fraction form
    383,400.84/806,463.84 = 806,463.84/x
  3. Step 3: Cross multiply
    383,400.84x = 806,463.84 × 806,463.84
  4. Step 4: Simplify right side
    383,400.84x = 650,383,931,276.02
  5. Step 5: Solve for x
    x = 650,383,931,276.02/383,400.84
  6. Step 6: Final answer
    x = 1,696,354.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.